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Finding the Third Proportional to 127,687 and 259,022

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Solution

The third proportional to 127,687 and 259,022 is: 525,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,687 : 259,022 = 259,022 : x
  2. Step 2: Convert to fraction form
    127,687/259,022 = 259,022/x
  3. Step 3: Cross multiply
    127,687x = 259,022 × 259,022
  4. Step 4: Simplify right side
    127,687x = 67,092,396,484
  5. Step 5: Solve for x
    x = 67,092,396,484/127,687
  6. Step 6: Final answer
    x = 525,444.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.